The irreducibility of a cubic over a finite field


David G. A. Jackson


Research Report 98-17
Date: 22 July 1998
To appear in Nieuw Archief voor Wiskunde


In this report necessary and sufficient conditions are given for a cubic polynomial over a finite field to be irreducible. Although the results are of an elementary nature they do not appear to be in the standard literature.

Key phrases

irreducibility. cubic. finite field. Cardano. Chevalley group.

AMS Subject Classification (1991)

Primary: 11T06
Secondary: 12E05


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